List of things to memorize:
SaM - Thermistor Link to original
Thermistor are made of a thick layer of ceramic (semiconductor ) .
They are very common, and cost less than RTDs .
Structure :
Principle of operation : we exploit the semi-conductive behavior of the ceramic material which gives us a thermally activated conductivity .
Thermisotr have a negative TCR (Temperature Coefficient of Resisitance) or NTC (Negative Temperature Coefficient) :TCR = d T d R ⋅ R 1 < 0
***Formula of the thermistor’s resistance ***:R ( T ) = R A ⋅ e β ( T 1 − T A 1 )
Real World Measures :
R A : R ( T = T A )
T A : ambience temperature ( T A = 300° K )
β ∈ [ 3000° K ÷ 5000° K ]
Thermistor are of about 100 μ m in lenght.
Temperature range : T ∈ [ − 50° C ÷ 150° C ] . (here instead is defined differently)
Common values for the thermistor’s resistance: R ∈ [ 1.8 k \ohm ÷ 10 k \ohm ] .
The conductivity of semiconductors also depends on temperature .
Graph of the conductivity for n-type doped silicon :
Graph of the conductivity for metals :
Terminology :
N D + : density of “ionazied” donors.NOTE : The ionazied term means the dopants that contribuite to conduction, so the “active” dopants.~Ex.: in case of donors the electron that from the “donors extrinsix band” (E D ) has gone to the condution band .
Equation :T 1 = a + b ln ( R ) + c ln 3 ( R ) Where:
a = T A 1 − β l n ( R A )
b = β 1
c ≈ 0
β ∈ [ 3000° K ÷ 5000° K ]
Types of thermistor :
Standard precision : accuracy ∈ [ 0.1° C ÷ 0.2° C ] with T RANGE ∈ [ 0° C ÷ 70° C ] .
Extra precision : accuracy = 0.1° C and large T RANGE .
Ultra precision : accuracy = 0.05° C with T RANGE ∈ [ 0° C ÷ 50° C ] .